Waste less time on Facebook — follow Brilliant.
Back to all chapters
Logarithmic Functions
Logarithmic scales are used when the range of possible values is very wide, such as the intensity of an earthquake or the acidity of a liquid, in order to avoid the use of large numbers.
Evaluate the following:
\[ \Large 9^{\log_{3}(4)} \]
Do not use a calculator -- not even a slide rule!
by
Dmytri Eck
\[ \large \log_2 3 \times \log_3 4 \times \log_4 5 \times \cdots\times \log_{127} 128 = \, ? \]
by
حسن العطية
True or false:
\(\quad \quad \) \(\log_{x}1=0\) for every \(x>0\).
by
Hjalmar Orellana Soto
\[ \large \sum_{\text{cyclic}(a,b,c)} \left( \dfrac1{1 + \log_a bc} \right) = \, ? \]
by
Abhiram Rao
Which of the options is correct about the number \(\log _{ 4 }{ 18 } \)?
by
Anandhu Raj